The number of bacteria in a certain culture doubles every hour.If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of `2^(nd)` hour,`4^(th)` hour and `n^(th)`hour`?

The number of bacteria in a certain culture doubles every hour. If there are 30 bacteria present in the culture originally, how many bacteria will be present at the end of the 2nd hour, 4^ (th) hour and n^ (th) hour?

upon irradiation californium with neutron, a radio chemist discovered a new nuclide having mass number of 250 and a half life of 30 minutes. Three hours after the irradiation, the observed radioactivity due to the nuclide was 10 dis/minute. How many atoms of the nuclide were prepared initially ?

In a culture , the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000. If the rate of growth of bacteria is proportional to the number present ?

A certain current liberates 0.5 g of hydrogen in 2 hours. How many grams of copper can be liberated by the same current flowing for the same time in a copper sulphate solution?

(Manufacturing problem) A manufacturer has three machines I , II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours where as machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table: She makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can swll all the items that she produced ? What will be the maximum profit ?